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Finding the Fourth Proportional to 501,224.64, 751,862.40 and 146,265.60

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Solution

The fourth proportional to 501,224.64, 751,862.40 and 146,265.60 is: 219,405.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,224.64 : 751,862.40 = 146,265.60 : x
  2. Step 2: Convert to fraction form
    501,224.64/751,862.40 = 146,265.60/x
  3. Step 3: Cross multiply
    501,224.64x = 751,862.40 × 146,265.60
  4. Step 4: Simplify right side
    501,224.64x = 109,971,605,053.44
  5. Step 5: Solve for x
    x = 109,971,605,053.44/501,224.64
  6. Step 6: Final answer
    x = 219,405.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.